NDLI: Realization of quantum hadamard gate based on Lyapunov method

Content Provider	IEEE Xplore Digital Library
Author	Jie Wen Shuang Cong Xubo Zou
Copyright Year	2012
Description	Author affiliation: Department of Automation, University of Science and Technology of China, Hefei, Anhui Province, China (Jie Wen; Shuang Cong) \|\| Department of Optics and Optical Engineering, Key Laboratory of Quantum Information, University of Science and Technology of China, Chinese Academy of Sciences, Hefei, Anhui Province, China (Xubo Zou)
Abstract	This paper studies the realization of the quantum Hadamard gate of spin with a single electron. First the canonical form of the unitary rotation gate which is feasibly applied in plane control fields is given. Because the Hadamard gate can't be realized directly by applying the plane control fields, so the matrix operator of Hadamard gate is decomposed into two matrices which are feasible in canonical forms. These two canonical matrices correspond to the rotate-operation and reflect-operation of the vector coordinates on the Bloch sphere, respectively. Then the Hadamard gate can be realized in two steps by choosing appropriate control fields, in such a way the realization of Hadamard gate becomes to design external tailored control fields. Finally, the control fields are designed based on Lyapunov method. Numerical simulation experiments and results analysis are given.
Starting Page	5096
Ending Page	5101
File Size	7621677
Page Count	6
File Format	PDF
ISBN	9781467313971
e-ISBN	9781467313988
DOI	10.1109/WCICA.2012.6359443
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-06
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Logic gates Quantum computing Computers Quantum dots Matrix decomposition Lyapunov methods Vectors Lyapunov theory solid state spin qubits plane control fields quantum Hadamard gate
Content Type	Text
Resource Type	Article

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